MATH 225N Week 7 Assignment; Hypothesis Test for the Mean - Population Standard Deviation Known

1. Question: Suppose a chef claims that her meatball weight is less than 3 ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test,ata1%significancelevel,topersuadethem.Shecooks25meatballs.Themean weight of the sample meatballs is 2 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.5ounces. 2. Question: A mechanic wants to show that more than 44%of car owners do not follow a normal maintenance schedule. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter p. 3. Question: Which graph below corresponds to the following hypothesis test? 4. Question: Jamie, a bowler, claims that her bowling score is less than 168 points, on average. 5. Question: Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She bowls 17 games. The mean score of the sample games is 155 points. Jamie knows from experience that the standard deviation for her bowling score is 19 points. What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? 6. Question: Which of the following results in a null hypothesis p≥0.44 and alternative hypothesis p0.44? 7. Question: Which of the hypothesis tests listed below is a left-tailed test? Select all correct answers. 8. Question: Determine the Type I error if the null hypothesis, H0, is: the percentage of homes in the city that are not up to the current electric codes is no more than10%. And, the alternative hypothesis, Ha, is: the percentage of homes in thecity that are not up to the current electric codes is more than10%. 9. Question: What is α, the probability of a Type I error if the null hypothesis, H0, is: Carmin believes that her chemistry exam will only cover material from chapters four and five. 10. Question: Which of the following results in a null hypothesis p≤0.69and alternative hypothesisp0.69? 11. Question: Identify the type of hypothesis test below. H0:X≥17.9, Ha:X17.9 12. Question: Identify the type of hypothesis test below. H0:X≤16.9, Ha:X16.9 13. Question: Which of the following results in a null hypothesis μ≤7 andalternative hypothesisμ7? 14. Question: Which of the hypothesis tests listed below is a two-tailed test? Select all correct answers. 15. Question: Suppose the null hypothesis, H0, is: doctors believe that a surgical procedure is successful at least 80% of the time. What is the Type I error in this scenario? 16. Question: Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70%of its customers do not shop at any other sporting goods stores. What is the Type I error in this scenario? 17. Question: Jolyn, a golfer, claims that her drive distance is not equal to 222 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She hits 11 drives. The mean distance of the sample drives is 218 meters. Jolyn knows from experience that the standard deviation for her drive distance is 14 meters. •H0: μ=222; Ha: μ≠222 •α=0.05(significancelevel) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? 18. Question: Suppose a chef claims that her meatball weight is not equal to 4 ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 10% significance level, to persuade them. She cooks 13 meatballs. The mean weight of the sample meatballs is 3.9ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.6 ounces. •H0: μ=4; Ha: μ≠4 •α=0.1(significancelevel) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? 19. Question: Lexie, a chef, claims that her meatball weight is more than 3 ounces, on average. Several of her customers do not believe her, so she decides to do a hypothesis test, at a1%significancelevel,topersuadethem.Shecooks12meatballs.Themeanweight of the sample meatballs is 3.6 ounces. Lexie knows from experience that the standard deviation for her meatball weight is 0.5ounces. •H0: μ≤3; Ha: μ3 •α=0.01(significancelevel) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? 20. Question: Gail, a baker, claims that her bread height is not equal to 14 cm, on average. Several of her customers do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She bakes 15loaves of bread. The mean height of the sample loaves is 13.8cm. Gail knows from experience that the standard deviation for her bread height is 0.7 cm. •H0: μ=14; Ha: μ≠14 •α=0.05(significancelevel) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?